✦ LIBER ✦

Stationary oscillation for high-order Hopfield neural networks with time delays and impulses

✍ Scribed by Yinping Zhang; Qing-Guo Wang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 345 KB
Volume: 231
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.079

No coin nor oath required. For personal study only.

✦ Synopsis

We investigate stationary oscillation for high-order Hopfield neural networks with time delays and impulses. In a recent paper [J. Zhang, Z. J. Gui, Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays, Journal of Computational and Applied Mathematics 224 (2008) 602-613], the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary oscillation) for high-order Hopfield neural networks with time delays and impulses. In this paper, we point out that the main result of the recent paper is unture, and present a new sufficient condition of stationary oscillation for the neural networks. A numerical example is given to illustrate the effectiveness of the obtained result.

📜 SIMILAR VOLUMES

Stationary oscillation for cellular neur

Stationary oscillation for cellular neural networks with time delays and impulses

✍ Yinping Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 115 KB

Impulsive hybrid discrete-time Hopfield

Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis

✍ Eva Kaslik; Seenith Sivasundaram 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 339 KB

In this paper we investigate multistability of discrete-time Hopfield-type neural networks with distributed delays and impulses, by using Lyapunov functionals, stability theory and control by impulses. Example and simulation results are given to illustrate the effectiveness of the results.

Stability properties for Hopfield neural

Stability properties for Hopfield neural networks with delays and impulsive perturbations

✍ Xiaodi Li; Zhang Chen 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 726 KB

In this paper, we consider the uniform asymptotic stability, global asymptotic stability and global exponential stability of the equilibrium point of Hopfield neural networks with delays and impulsive perturbation. Some new stability criteria for such system are derived by using the Lyapunov functio

Robust stability for stochastic Hopfield

Robust stability for stochastic Hopfield neural networks with time delays

✍ Zidong Wang; Huisheng Shu; Jian’an Fang; Xiaohui Liu 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 198 KB

Exponential stability of Hopfield neural

Exponential stability of Hopfield neural networks with time-varying delays via impulsive control

✍ Xiaodi Li 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB

In this paper, by utilizing the Lyapunov functionals, the analysis method and the impulsive control, we analyze the exponential stability of Hopfield neural networks with time-varying delays. A new criterion on the exponential stabilization by impulses and the exponential stabilization by periodic i

Global exponential stability and global

Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays

✍ Xilin Fu; Xiaodi Li 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 1014 KB

In this paper, by means of constructing the extended impulsive delayed Halanay inequality and by Lyapunov functional methods, we analyze the global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. Some new sufficient conditions ensuring exponentia